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Check Buying Guides before asking "What TV, Speakers, Subs fit blah blah". A Sticky post may also exist helping with buying decisions. Search should be used as your query has probably come up.

Sidebar Wisdom:

99.9% of the time Soundbars or HTiB (Home Theater in a Box) systems are not a good investment of your time and money. It is the general consensus of r/hometheater not to recommend these things and instead simply steer a user toward a 2.0 or 2.1 system made of quality, Audio-Centric name brand components easy to assemble and cheap enough for low budget or space conscious buyers. Most can be expanded to 5.1 if you buy items in the correct order.

Here's my setup that's grown through my years in college. I was running a 7.1 in my dorm room at one time. Two Polk Audio front speakers from Dad's glory days, a Yamaha center ($15 on Craigslist), a so-so Sony active sub from a friend (my Velodyne minivee bit the dust), Onkyo 7.1 receiver, an Insignia TV (Best Buy, made with Samsung parts), Xbox 360, Apple TV, VCR (old school!), and it's all held up by a restored piece of Goodwill furniture! I cut the center drawers out to house my center speaker, but this current Yamaha won't fit without some extra modification.

By the way, if I got a better sub and pulled my surround speakers out of the box again, do you think the Yamaha center and Polk Audios and Onkyo would be sufficient for a basement home theater and projector setup?

When I got my Onkyo the HDMI didn't work. I'm assuming you have the same (if not similar) model as mine. The problem is a few capacitors on the daughterboard go bad, pretty reliably, most likely because of heat. I was able to fix mine, but ever since I've mitigated any problems related to heat by putting a small USB fan in the case, pulling heat away from underneath the daughterboard. You might consider doing this as well.

Something else that may be good practice is not powering the receiver when not in use. I've got a power strip I have all my devices plugged into that I switch off at night. This is because, for whatever reason, the HDMI passthrough stays active even when the receiver is inactive. You'll see a picture output even if it's in standby.